We suppose you can't blame Apple for trying; in the wake of the company's failure to secure an injunction against Amazon for its continued use of the "Appstore" term, it's been revealed that Apple recently tried to convince GetJar to drop the term voluntarily.
Unlike Amazon's flagrant use of "Appstore" in its service's name, GetJar is much less married to the phrase; you won't find it anywhere on the store's main page. The company does use it to describe itself, however, saying "GetJar is the world's largest free app store" . In a letter date June 22, Apple requested GetJar stop even using the phrase in that innocuous sense.
Like Amazon, GetJar has no intentions of rolling over. CEO Ilja Laurs said in regards to the request that "We have built a strong, global and growing business around this model, and plan to continue to use the phrase "app store" to describe what we do. This move by Apple is yet more proof that the company tends to act as if it is above the law, and even as one of the smaller players in the space, we won't be bullied by Apple."
The Amazon case will likely get its day in court in October 2012. In the meantime, Apple continues to send requests out to companies like GetJar; unfortunately, not all of them have the financial and legal resources to stand up to the giant's intimidation.
Source: The Wall Street Journal